Maximum Uniform Acceleration of Follower during Outstroke Calculator

✖Angular velocity of cam refers to how fast an object rotates or revolves relative to another point.ⓘ Angular Velocity of Cam [ω]			+10% -10%
✖Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.ⓘ Stroke of Follower [S]			+10% -10%
✖The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.ⓘ Angular Displacement of Cam During Out Stroke [θ_o]			+10% -10%

✖Maximum Acceleration is the rate of change of the velocity of an object with respect to time.ⓘ Maximum Uniform Acceleration of Follower during Outstroke [a_max]

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Maximum Uniform Acceleration of Follower during Outstroke Solution

STEP 0: Pre-Calculation Summary

Formula Used

Maximum Acceleration = (4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2)
a_max = (4*ω^2*S)/(θ_o^2)
This formula uses 4 Variables

Variables Used

Maximum Acceleration - (Measured in Meter per Square Second) - Maximum Acceleration is the rate of change of the velocity of an object with respect to time.
Angular Velocity of Cam - (Measured in Radian per Second) - Angular velocity of cam refers to how fast an object rotates or revolves relative to another point.
Stroke of Follower - (Measured in Meter) - Stroke of Follower is the greatest distance or angle through which the follower moves or rotates.
Angular Displacement of Cam During Out Stroke - (Measured in Radian) - The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.

STEP 1: Convert Input(s) to Base Unit

Angular Velocity of Cam: 27 Radian per Second --> 27 Radian per Second No Conversion Required
Stroke of Follower: 20 Meter --> 20 Meter No Conversion Required
Angular Displacement of Cam During Out Stroke: 22 Radian --> 22 Radian No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

a_max = (4*ω^2*S)/(θ_o^2) --> (4*27^2*20)/(22^2)

Evaluating ... ...

a_max = 120.495867768595

STEP 3: Convert Result to Output's Unit

120.495867768595 Meter per Square Second --> No Conversion Required

FINAL ANSWER

120.495867768595 ≈ 120.4959 Meter per Square Second <-- Maximum Acceleration

(Calculation completed in 00.009 seconds)

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National Institute Of Technology (NIT), Hamirpur

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< Acceleration of the Follower Calculators

Acceleration of Follower of Roller Follower Tangent Cam, there's Contact with Nose

LaTeX Go Acceleration of Follower = Angular Velocity of Cam^2*Distance b/w Cam Center and Nose Center*(cos(Angle Turned by Cam When Roller is at Nose Top)+(Distance b/w Roller Centre and Nose Centre^2*Distance b/w Cam Center and Nose Center*cos(2*Angle Turned by Cam When Roller is at Nose Top)+Distance b/w Cam Center and Nose Center^3*(sin(Angle Turned by Cam When Roller is at Nose Top))^4)/sqrt(Distance b/w Roller Centre and Nose Centre^2-Distance b/w Cam Center and Nose Center^2*(sin(Angle Turned by Cam When Roller is at Nose Top))^2))

Acceleration of Follower after Time t for Cycloidal Motion

LaTeX Go Acceleration of Follower = (2*pi*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2)*sin((2*pi*Angle Through Which Cam Rotates)/(Angular Displacement of Cam During Out Stroke))

Acceleration of Follower for Roller Follower Tangent Cam, there's Contact with Straight Flanks

LaTeX Go Acceleration of Follower = Angular Velocity of Cam^2*(Radius of the Base Circle+Radius of Roller)*(2-cos(Angle Turned by Cam from Beginning of Roller))^2/((cos(Angle Turned by Cam from Beginning of Roller))^3)

Acceleration of Follower for Circular Arc Cam if there's Contact on Circular Flank

LaTeX Go Acceleration of Follower = Angular Velocity of Cam^2*(Radius of Circular Flank-Radius of the Base Circle)*cos(Angle Turned by Cam)

Maximum Uniform Acceleration of Follower during Outstroke Formula

LaTeX Go

Maximum Acceleration = (4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2)
a_max = (4*ω^2*S)/(θ_o^2)

Define follower motion with uniform acceleration and retardation.

Follower motion with uniform acceleration and retardation (UARM), here, the displacement of the follower varies parabolically with respect to the angular displacement of the cam. Accordingly, the velocity of the follower varies uniformly with respect to the angular displacement of the cam.

How to Calculate Maximum Uniform Acceleration of Follower during Outstroke?

Maximum Uniform Acceleration of Follower during Outstroke calculator uses Maximum Acceleration = (4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2) to calculate the Maximum Acceleration, Maximum Uniform Acceleration of Follower during Outstroke formula is defined as the highest acceleration achieved by the follower during its outstroke motion in a mechanical system, which is influenced by the angular velocity, stroke length, and initial angular displacement of the system. Maximum Acceleration is denoted by a_max symbol.

How to calculate Maximum Uniform Acceleration of Follower during Outstroke using this online calculator? To use this online calculator for Maximum Uniform Acceleration of Follower during Outstroke, enter Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o) and hit the calculate button. Here is how the Maximum Uniform Acceleration of Follower during Outstroke calculation can be explained with given input values -> 9.836397 = (4*27^2*20)/(22^2).

FAQ

What is Maximum Uniform Acceleration of Follower during Outstroke?

Maximum Uniform Acceleration of Follower during Outstroke formula is defined as the highest acceleration achieved by the follower during its outstroke motion in a mechanical system, which is influenced by the angular velocity, stroke length, and initial angular displacement of the system and is represented as a_max = (4*ω^2*S)/(θ_o^2) or Maximum Acceleration = (4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2). Angular velocity of cam refers to how fast an object rotates or revolves relative to another point, Stroke of Follower is the greatest distance or angle through which the follower moves or rotates & The Angular Displacement of Cam during Out Stroke is the angle covered by the follower during forwarding stroke.

How to calculate Maximum Uniform Acceleration of Follower during Outstroke?

Maximum Uniform Acceleration of Follower during Outstroke formula is defined as the highest acceleration achieved by the follower during its outstroke motion in a mechanical system, which is influenced by the angular velocity, stroke length, and initial angular displacement of the system is calculated using Maximum Acceleration = (4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Out Stroke^2). To calculate Maximum Uniform Acceleration of Follower during Outstroke, you need Angular Velocity of Cam (ω), Stroke of Follower (S) & Angular Displacement of Cam During Out Stroke (θ_o). With our tool, you need to enter the respective value for Angular Velocity of Cam, Stroke of Follower & Angular Displacement of Cam During Out Stroke and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Maximum Acceleration?

In this formula, Maximum Acceleration uses Angular Velocity of Cam, Stroke of Follower & Angular Displacement of Cam During Out Stroke. We can use 3 other way(s) to calculate the same, which is/are as follows -

Maximum Acceleration = (pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Out Stroke^2)
Maximum Acceleration = (pi^2*Angular Velocity of Cam^2*Stroke of Follower)/(2*Angular Displacement of Cam During Return Stroke^2)
Maximum Acceleration = (4*Angular Velocity of Cam^2*Stroke of Follower)/(Angular Displacement of Cam During Return Stroke^2)

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